Reality: In the past, women with lumpy, dense, or fibrocystic breasts were believed to be at higher risk of getting breast cancer, but there doesn't appear to be a connection after all. However, when you have lumpy breasts, it can be trickier to differentiate normal tissue from cancerous tissue, so you may experience false alarms. Women with fibrocystic breasts often follow up their mammograms with an ultrasound.